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Simplifying 3(y + -2) = 2(y + 4) Reorder the terms: 3(-2 + y) = 2(y + 4) (-2 * 3 + y * 3) = 2(y + 4) (-6 + 3y) = 2(y + 4) Reorder the terms: -6 + 3y = 2(4 + y) -6 + 3y = (4 * 2 + y * 2) -6 + 3y = (8 + 2y) Solving -6 + 3y = 8 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -6 + 3y + -2y = 8 + 2y + -2y Combine like terms: 3y + -2y = 1y -6 + 1y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 -6 + 1y = 8 + 0 -6 + 1y = 8 Add '6' to each side of the equation. -6 + 6 + 1y = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 1y = 8 + 6 1y = 8 + 6 Combine like terms: 8 + 6 = 14 1y = 14 Divide each side by '1'. y = 14 Simplifying y = 14
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